Department of Mechanics
The Department of Mechanics is part of the Faculty of Technical Sciences at the University of Novi Sad, Serbia
An interesting problem...
Euler's disk...
Mechanics is a science that deals with motion and deformation of bodies under the action of forces. Its essential ingredients are axioms, theorems, proofs, definitions, principles, but at the heart of it, what mechanics really consist of, are problems and solutions.
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1971-1980
- B.Vujanović, Metod polja generalisanog impulsa u nekonzervativnoj mehanici, VII Kongres matematičara, fizičara i astronoma Jugoslavije, 1980, Bečići-Budva.
- B.Vujanović, On the field-momenta method in mechanics, Tensor (N.S.), vol. 33, No. 1, pp. 117-122, 1979, Japan.
- B.Vujanović, On a gradient method in nonconservative mechanics, Acta Mechanica, Springer, Wien-New York, Vol. 34, pp. 167-179, 1979.
- B.Vujanović, T.M.Atanackovic, On application of Jourdain's variational principle in nonlinear mechanics, Acta Mechanica, Springer, Wien-New York, Vol. 29, pp. 221-238, 1978.
- B.Vujanović, Conservation laws of dynamical systems via D'Alambert's principle, International Journal of Non-Linear Mechanics, Pergamon-Oxford, Vol, 13, pp. 185-197, 1978.
- B.Vujanović, A geometrical approach to the conservation laws of nonconservative dynamical systems, Tensor (N.S.), Vol. 32, pp. 357-365, 1978, Japan.
- B.Vujanović, The practical use of Gauss's principle of least constraint, Journal of Mechanical Engineers (ASME), New York, Vol. 32, pp. 1-6, 1976.
- B.Vujanović, B.Baclic, Application of Gauss's principle of least constraint to the nonlinear heat transfer problem, International Journal of Heat and Mass Transfer, Pergamon-Oxford, Vol. 19, pp. 721-730, 1976.
- B.Vujanović, Applications of analytical mechanics to nonconservative field theory, Rendiconti Seminario Matematico, Universita di Torino, Torino, Vol, 35, pp. 89-95, 1976-77.
- B.Vujanović, B.Bačlić, O direktnim metodama zasnovanim na Gausovom principu najmanje prinude, XIII Jugoslovenski kongres teorijske i primenjene mehanike, Sarajevo, 1976.
- B.Vujanović, T.M.Atanacković, O primeni žurdenovog principa u nelinearnoj mehanici, XIII Jugoslovenski kongres teorijske i primenjene mehanike, Sarajevo, 1976.
- B.Vujanović, Savremeni razvoj varijacionih principa u nekonzervativnoj mehanici - Plenarno saopstenje, XIII Jugoslovenski kongres teorijske i primenjene mehanike, Sarajevo, 1976.
- B.Vujanović, A variational principle for nonconservative dynamic systems, Zeitschrift fòr Angewandte Mathematik und Mechanik (ZAMM), Akademie-Verlag, Berlin, Vol. 55, pp. 321-331, 1975.
- Dj.Djukic, B.Vujanović, A variational principle for the two-dimensional boundary layer of non-Newtonian power-law fluids, Rheologica Acta, The Netherlands, Vol. 14, pp. 881-890, 1975.
- Dj.Djukic, B.Vujanović, Noether's theory in classical nonconservative mechanics, Acta Mechanica, Springer, Wien-New York, Vol. 23, pp. 17-27, 1975.
- Dj.Djukic, B.Vujanović, On some geometrical aspects of classical nonconservative mechanics, Journal of Mathematical Physics, New York, Vol. 16, p. 2099-2102, 1975.
- B.Vujanović, On one variational principle for irreversible phenomena, Acta Mechanica, Springer, Wien-New York, vol. 19, pp. 259-275, 1974.
- B.Vujanović, O jednom varijacionom principu mehanike, XII Jugoslovenski kongres teorijske i primenjene mehanike, Ohrid, 1974.
- B.Vujanović, Dj.Djukic, M.Pavlovic, A variational principle for the laminar boundary layer theory, Bollettino Unione Matematica Italiana, Roma, vol. 4 (7), pp. 377-391, 1973.
- Dj.Djukic, B.Vujanović, N.Tatic, A.M.Strauss, On two variational methods for obtaining solutions to transport problems, The Chemical Engineering Journal, The Netherlands, Vol. 5, pp. 145-152, 1973.
- B.Vujanović, Application of the optimal linearization method to the heat transfer problem, International Journal of Heat and Mass Transfer, Pergamon-Oxford, Vol. 16, pp. 1111-1117, 1973.
- B.Vujanović, On some variational principles for the conduction of heat, First Heat Transfer Conference, Vol. I, str. 262-272, 1973, Iasi, Romania.
- B.Vujanović, Dj.Djukic, A.M.Strauss, C.E.Passarello, Non-Fourier rate-dependent heat transfer in non-Newtonian Poiseuille flow, 10th Anniversary meeting, Society of engineering science, North Carolina State University, Raleigh, USA, 1973.
- B.Vujanović, Dj.Djukic, On one variational principle of Hamilton's type for nonlinear heat transfer problem, International Journal of Heat and Mass Transfer, Pergamon-Oxford, Vol. 15, pp. 1111-1123, 1972.
- B.Vujanović, Dj.Djukic, A.M.Strauss, A variational solution of the Raleigh problem for a power-law non-Newtonian fluid, Ingenieur-Archiv, Springer-Berlin, Vol. 41, pp. 381-386, 1972.
- Б.Вуяанович, О некаторих своиствах движения при действйй рассеяваюших сыл, Механика, МИР, Том 1, 35-38, 1971, Москва.
- B.Vujanović, An approach to linear and nonlinear heat transfer using a Lagrangian, American Institute of Aeronautics and Astronautics (AIAA-Journal), Vol. 9, No. 1, pp. 131-134, 1971, New York.
- B.Vujanović, A.M.Strauss, Heat transfer with nonlinear boundary conditions via a variational principle, American Institute of Aeronautics and Astronautics (AIAA-Journal), Vol. 9, No. 2, pp. 327-330, 1971, New York.
- B.Vujanović, A.M.Strauss, A new variational principle for linear viscoelasticity, Tensor (N.S.), Vol. 24, pp. 231-238, 1971, Japan.
- Dj.Djukic, B.Vujanović, On one variational principle of Hamiltons type for classical field theory, Zeitschrift fòr Angewandte Mathematik und Mechanik (ZAMM), Akademie-Verlag, Berlin, Band 54, Heft 8, pp. 611-617, 1971.
- Dj.Djukic, B.Vujanović, Canonical transformations and the Hamilton-Jacobi theorem in the optimal control theory, Zeitschrift fòr Angewandte Mathematik und Mechanik (ZAMM), Akademie-Verlag, Berlin, Vol. 57, pp. 651-657, 1971.
- B.Vujanović, Hamiltonov varijacioni princip i njegova primena na provođenje toplote, Zbornik radova Mašinskog fakulteta u Novom Sadu, br. 5, Novi Sad, 1971.
- B.Vujanović, Provođenje toplote kroz polu-beskonačna tela sa varijabilnom temperaturom na čeonoj površini, Zbornik radova Mašinskog fakulteta u Novom Sadu, br. 6, Novi Sad, 1971.
- B.Vujanović, Prilog varijacionom proučavanju konvektivnog provođenja toplote nestišljive tečnosti, Zbornik radova Mašinskog fakulteta u Novom Sadu, br. 6, Novi Sad, 1971.
- B.Vujanović, O nekim varijacionim aspektima optimalnog upravljanja u smislu Pontrjagina, Zbornik radova Mašinskog fakulteta u Novom Sadu, br. 6, Novi Sad, 1971.
- B.Vujanović, Đ.Đukić, A variational principle of Hamilton's type for the laminar boundary layers in incompressible fluids, Publications of Mathematical Institute - Belgrade, Vol. 11 (25), 1971.
- Dj. S. Djukic and A. M. Strauss, Noether's theory for nonconservative generalized mechanical systems, J. Phys. A: Math. Gen., Great Britain, 13, 1980, 431-435.
- Dj. S. Djukic and T. M. Atanackovic, Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual, Journal of Mathematical Analysis and applications, Academic Press, 75, 1, 1980, 203-218.
- Dj. S. Djukic, On the brachistochronic motion of a nonconservative dynamic system, Recuell des travaux de L'Institut Mathematique, N. S., 3 (11), 1979, 39-46.
- Dj. S. Djukic, On the brachistochronic motion of a dynamic system, Acta Mechanica, Springer-Verlag, 32, 1979, 181-186.
- Dj. S. Djukic, The brachistochronic motion of nonholonomic mechanical systems, 14-th Yugoslav Congress of Rational and Applied Mechanics, Portoroz, A1-10, 1978, 73-80.
- Dj. S. Djukic, On the motion of a dynamic system with minimal dissipation, J. Inst. Maths. Applics, London, 21, 1978, 41-46.
- Dj. S. Djukic, A contribution to the nonholonomic mechanical systems of the second order, Indian Journal of Pure & Applied Mathematics, India, 8, 4, 1977, 482-486.
- Dj. S. Djukic and B. Vujanovic, Canonical transformations and the Hamilton-Jacobi theorem in the optimum control theory, Zeitschrift fòr Angewandte Mathematik und Mechanik, Dresden, 57, 1977, 651-657.
- Dj. S. Djukic, On the integral invariants in classical mechanics for quasi-coordinates, Bull. Cal. Math. Soc., Calcutta, 69, 1977, 163-166 (a).
- Dj. S. Djukic, The brachistochrone motion of a gyroscope mounted on the gimbals, Teorijska i primenjena mehanika, 2, 1976, 37-40.
- Dj. S. Djukic, A contribution to analytical mechanics of nonconservative systems, Proc. of 13-th Yugoslav Congress of Rational and Applied Mechanics, Sarajevo, A1.-1, 1976, 1-12.
- Dj. S. Djukic, A variational principle involving a conditional extremum for the Hamel-Boltzmann equation of motion, Acta Mechanica, Springer-Verlag, 25, 1976, 105-110.
- V. Saljnikov and Dj. S. Djukic, Beitrag zu den Grenzschichtstromungs Untersuchungen von Nichtnewtonschen Potenzgesetzflussigkeiten, Zeitschrift fur Angewandte Mathematik und Mechanik, Dresden, 56, 1976, 221-224.
- Dj. S. Djukic and T. M. Atanackovic, A note on the classical brachistochrone, Zeitschrift fur Angewandte Mathematik und Physik, Basel, 27, 1976, 677-681.
- B. Vujanovic, Dj. S. Djukic, A. M. Strauss and C. E. Passarello, Non-Fourier rate dependent heat transfer in non-Newtonian Poiseuille flow, Recent Advances in Engineering Science, 7, Sci. Publishers, Boston, 1976, 247-254.
- Dj .S. Djukic, The brachistochronic motion of a material point on surface, Riv. Mat. Univ. Parma, (4) 2, 1976, 177-183.
- Dj. S. Djukic, On the invariance of Hamilton's function, Archives of Mechanics, Warszawa, 27, 4, 1975, 685-688.
- Dj. S. Djukic and B. Vujanovic, On some geometrical aspects of classical nonconservative mechanic, Journal of Mathematical Physics, USA, 16, 10, 1975, 2099-2102.
- Dj. S. Djukic and B. Vujanovic, A variational principle for the two-dimensional boundary layer of non-Newtonian power law fluid, Rheologica Acta, Dr. Dietrich Steinkopff Verlag Darmstadt, 14, 1975, 881-890.
- Dj. S. Djukic, Integral invariants in classical nonconservative mechanics, Acta Mechanica, Springer-Verlag, 23, 1975, 291-296.
- Dj. S. Djukic and B. Vujanovic, Noether's theory in classical nonconservative mechanics, Acta Mechanica, Springer-Verlag, 23, 1975, 17-27.
- Dj. S. Djukic, A note on Hamilton's principle, Mathematica Japonicae, 20, 1975, 137-140.
- V. Saljnikov, B. Cijan and Dj. S. Djukic, Universal equations of unsteady laminar thermal boundary layer, Proc. of 12-th Yugoslav congress of Rational and Applied Mechanics, Ohrid, B1. 2-2, 1974, 1-11.
- Dj. S. Djukic, Conservation laws in classical mechanics for quasi-coordinates, Proc. of 12-th Yugoslav Congress of Rational and Applied Mechanics, Ohrid, A1.-4, 1974, 1-12.
- Dj. S. Djukic, Algebraic solution of the Kepler problem using the Vujanovic vector, Astronautica Acta, Pergamon Press, 18 (supplement), 1974, 161-162.
- Dj. S. Djukic, Теорема Нетера для оптимальных систем управления, Експресс - информация, Системы автоматического управления, Москва 2, 1974, 47-52.
- Dj. S. Djukic, Hiemenz magnetic flow of power law fluids, Journal of Applied Mechanics, Transactions of American Society of Mechanical Eng., September 1974, 822-823.
- Dj. S. Djukic, The universal form of the boundary layer equation and its solution for non-Newtonian power law fluids, Zeithschrift fur Angewandte Mathematik und Mechanik, Dresden, 54, 1974, 9-17.
- Dj. S. Djukic, A contribution to the generalized Noether's theorem, Archives of Mechanics, Warszawa, 26, 2, 1974, 243-249.
- Dj. S. Djukic, A new first integral corresponding to Lyapunov's function for a pendulum of variable length, Zeithschrift fur Angewandte Mathematik und Physik, Basel, 25, 1974, 532-535.
- Dj. S. Djukic, Conservation laws in classical mechanics for quasi-coordinates, Archives for Rational Mechanics and Analysis, Springer-Verlag, 56, 1, 1974, 79-98.
- Dj. S. Djukic, Whittaker's equations of non-holonomic mechanical systems, Atti della Accademia Nazionale dei Lincei, Roma, Classe di Sci. fisiche, matem. e naturali, serie VIII, LVI, fasc. 1, 1974, 55-61.
- Dj. S. Djukic, On a unsteady magnetic boundary layer flow of power law fluids, The physics of Fluids, USA, 17, 12, 1974, 2184-2186.
- Dj. S. Djukic, An analytical mechanics contribution to optimum control theory, Int. J. Control , London, 17, 6, 1973, 1287-1292.
- Dj. S. Djukic, Noether's theorem for optimum control systems, Int. J. Control, London, 18, 3, 1973, 667-672.
- Г. Дюкич, Об обобщенном виде уравнений Лагранжа второго рода, Прикладная математика и механика, Москва, 37, 1, 1973, 156-159.
- G. Diukich, On a generalized form of Lagrange equations of second kind, Applied Mathematics and Mechanics, Translation of the Soviet Journal, USA, 37, 1, 1973, 142-145.
- Dj. S. Djukic, A note on the disturbed equations of motion in the nonholonomic coordinates, Annali di Matematica pura ed applicata, Bologna, (IV) XCVI, 1973, 141-148.
- Dj. S. Djukic, On unsteady magnetic low-speed slip flow in the boundary layer, Acta Mechanica, Springer-Verlag, 18, 1973, 35-48.
- Dj. S. Djukic, A procedure for finding first integrals of mechanical systems with gauge-variant Lagrangians, Int. J. Non-Linear Mechanics, Pergamon Press, 8, 1973, 479-488.
- B. Vujanovic, Dj. S. Djukic and M. Pavlovic, A variational principle for the laminar boundary layer theory, Bollettino UMI., Bologna, (4) 7, 1973, 377-391.
- Dj. S. Djukic, B. Vujanovic and N. Tatic, On two variational methods for obtaining solutions to transport problems, The Chemical Eng. Journal, Elsevier Sequoia S.A., Lausanne, 5, 1973, 145-152.
- Dj. S. Djukic, On the use of Crocco's equation for the flow of power law fluids in a transverse magnetic field, AIChE (American Institute of Chemical Engineering) Journal, USA, 19, 6, 1973, 1159-1163.
- Dj. S. Djukic, The canonical equations of mechanical systems with the nonholonomic constraints of the second order, Matematicki vesnik, 9 (24) 4, 1972, 351-362.
- Dj. S. Djukic, On the Appell's equations of motion for the nonholonomic mechanical systems of the higher order in the quasicoordinates, Matematicki vesnik, 9 (24) 3, 1972, 237-241.
- V. Saljnikov and Dj. S. Djukic, L'Universalisation des equations de la couche limite laminaire instationnaire, Proc. Recent Research on unsteady boundary layers, International Union of Theoretical and Applied Mechanics (IUTAM) Symp. 1971, Les Presses de L'Universite Laval, Quebec 1972, 1, 169-205.
- Dj. S. Djukic, Note on the Tzenov-Dolapchiev equations for nonholonomic mechanical systems, Comptes rendus de L'Academie bulgare des Sciences, 25, 12, 1972, 1605-1607.
- Dj. S. Djukic, A contribution to the analytical mechanics of the disturbed motion, Academie Royale de Belgique, Bull. de la classe des sci. 5 serie, 58, 1972, 124-142.
- B. Vujanovic and Dj. S. Djukic, On one variational principle of Hamilton's type for nonlinear heat transfer problem, Int. J. Heat Mass Transfer, Pergamon Press, 15, 1972, 1111-1123.
- B. Vujanovic, A. M. Strauss and Dj. S. Djukic, A variational solution of the Rayleigh problem for power law non-Newtonian conducting fluid, Ingenieur Archiv, Springer-Verlag, 41, 1972, 381-386.
- Dj. S. Djukic, The universal form of unsteady laminar incompressible boundary layer equations when the velocity of external flow is an arbitrary function, Matematicki vesnik, 8 (23) 1, 1971. 61-71.
- Dj. S. Djukic, On the unsteady magneto hydrodynamic boundary layer in incompressible fluids, Matematicki vesnik, 8 (23) 3, 1971, 293-301.
- Dj. S. Djukic, On an isoperimetric problem of heat transfer, Zbornik radova Masinskog fakulteta, Novi Sad, 6, 1971, 189-195.
- Dj. S. Djukic, The universal form of the unsteady laminar boundary layer flow equations for a non-Newtonian power law fluid, Zbornik radova Masinskog fakulteta, Novi Sad, 6, 1971, 197-211.
- B. Vujanovic and Dj. S. Djukic, A variational principle for the theory of laminar boundary layers in incompressible fluids, Publications de L'Institut Mathematique, N.S., 11 (25), 1971, 73-83.
- Dj. S. Djukic and B. Vujanovic, On a new variational principle of Hamilton's type for classical field theory, Zeitschrift fòr Angewandte Mathematik und Mechanik, Dresden, 51, 1971, 611-616.
- Dj.S. Djukic and T.M. Atanackovic, Error Bounds via a New Extremum Variational Principle, Mean Square Residual and Weighted Mean Square Residual. Journal Math. Analysis and Applications, 75, 203-218 (1980).
- T. Atanackovic and B. Baclic, A new Time invariant for Heat Conduction with Finite Wave Speed. Zeitschrift Angew. Math. Mech. (ZAMM), 60, 168-169 (1980).
- T.M. Atanackovic, Some Optimization Problems for Elastic Bodies. Journal of Optimiz. Theory and Applications, 32, 101-110 (1980).
- T.M. Atanackoivc, Two optimal Control Problems of Finite Elasticity Theory. Int. J. Non-Linear Mechanics, 14, 297-303 (1979).
- T.M. Atanackovic, The brachistrochrone for a material point with arbitrary initial velocity. American J. Physics, 46, 1274-1275 (1978).
- T.M. Atanackovic, A note on the Infinitesimal Inviscid-Like motions of Viscous Fluids. Meccanica, 12, 138-139 (1977).
- T.M. Atanackovic, On a Stationarity Principle for Non-Conservative Dynamical Systems. Int. J. Non-Linear Mechanics, 13, 139-143 (1978).
- T.M. Atanackovic, Optimal Control of Dynamically Controllable Motions: An Example. J. Inst. Maths. Applics. 21, 293-299 (1978).
- T.M. Atanackovic, Geometry of motion of a single elastic body point. J. Mathematical Physics, 19, 880-882 (1978).
- B. Vujanovic and T. Atanackovic, On the Use of Jourdain's Variational Principle in Nonlinear Mechanics and Transport Phenomena. Acta Mechanica, 29, 229-238 (1978).
- T.M. Atanackovic, A note on a Variational Principle for Simple Elastic Materials. Acta Mechanica, 26, 331-335 (1977).
- T.M. Atanackovic and D.C. Leigh, Slip-Plane and Slip-Cylinder Theorems for Slow Viscous Flow. Acta Mechanica, 27, 121-126 (1977).
- T.M. Atanackovic, Slow Viscous Flows over a Flat Plate with Mixed Boundary Conditions. Ingenieur-Archiv, 46, 157-160 (1977).
- T.M. Atanackovic, On the Plane Creeping Flow of Second order Fluids with mixed Boundary Conditions. Publications de L'Institut Mathématique, NS 21, 21-27 (1977).
- Dj. S. Djukic and T.M. Atanackovic, A Note on the Classical Brachistochrone. Journal of Applied Mathematics and Physics (ZAMP), 27, 677-681 (1976).
- T.M. Atanackovic and S.E. Jones, Ageneralized variational Formulation. Journal Math. Analysis and Applications, 48, 672-679 (1974).
- Vujanovic, B., and Baclic, B., "Application of Gauss's Principle of Least Constraint to the Nonlinear Heat-Transfer Problem", Int. J. Heat Mass Transfer, Vol. 19, 1976, pp.721-730
- Baclic, B., "On the Nonlinear Temperature Wave Propagation into the Depth of Ocean", Heat Transfer and Turbulent Buoyant Convection, D.B. Spalding and N. Afgan, eds., Vol. 1, Hemisphere Publ. Corp./McGraw-Hill, New York, 1977, pp.105-122.
- Baclic, B., Dimic, M., and Sekulic, D., "Radiative Influence on Free Convective Heat and Mass Transfer During Frost Formation onto a Cryosurface", Exchangeurs thermiques - Conditionnement d'air - Pompes de Chaleur, Institut International du Froid, Paris, 1977, pp. 43-56.
- Baclic, B.S., "Determination of temperature of wall of pipe in case of variable coefficients of thermal and electrical conductivity", High Temperature - USSR, Vol. 15, No.5, 1977, pp. 946-949.
- Baclic, B.S., and Sekulic, D.P., "On the Equation Describing the Transient Flow of Compressible Liquid Through Deformable Porous Media", Canadian Journal of Physics, Vol. 56, 1978., pp. 691-695.
- Baclic, B.S., "Optimal Reference Temperature for Thermophysical Properties in Transient Nonlinear Heat Conduction Problems", Heat Transfer 1978, Vol. 3, Hemisphere Publ. Corp., Washington DC, 1978, pp. 269-274.
- Baclic, B., and Sekulic, D., "Compact-Crossflow Heat Exchanger of Minimal Irreversibility" (In Serbo-Croatian), Termotehnika, Vol. IV, No.2, 1978, pp. 34-42.
- Baclic, B.S., "A Simplified Formula for the Cross-Flow Heat Exchanger Effectiveness", ASME Journal of Heat Transfer, Vol. 100, 1978, pp. 746-747.
- Baclic, B.S., and Gvozdenac, D.D., "Nonlinear Transient Temperature Field in a Hexagon", Ingenieur-Archiv, Vol. 49, 1980, pp. 31-39.
- Atanackovic, T.M., and Baclic, B.S., "A New Time Invariant for Heat Conduction with Finite Wave Speed", Zeitschrift fur angewandte Mathematik und Mechanik, Vol. 60, 1980, pp. 168-169.
- Baclic, B.S., and Sekulic, D.P., "On the Thermodynamic Equilibrium in Modeling the Free Convective Boundary Layers under Frosting Conditions", Progress in Refrigeration Science and Technology, Vol. II, International Institute of Refrigeration, Paris, 1980, pp. 403-410. Paper No. B1-14.
- Sekulic, D.P., Gvozdenac, D.D., and Baclic, B.S., "A Study of Existence of Critical Frost Thickness on a Tube", Progress in Refrigeration Science and Technology, Vol. II, International Institute of Refrigeration, Paris, 1980, pp. 395-402. Paper No. B1-15.
- Baclic, B.S., "Optimal Reformulation of Transient Heat Conduction Problems with Temperature Dependent Properties", ASME Paper 80-HT-120, ASME/AIChE National Heat Transfer Conference, Orlando, 1980.